STOCHASTIC MODEL OF HEAT CONDUCTION WITH HEAT SOURCES OR SINKS

A one-dimensional stochastic model of heat conduction has been developed for the case of the presence of heat sources or sinks in the region of transfer. Boundary-value problems for average temperature and temperature fi eld dispersion in the region of heat conduction and boundary conditions for the temperature distribution function have been formulated. Generalization of the indicated one-dimensional boundary-value problems to the case of a larger number of measurements is given in an invariant form.
   
Author:  V. V. Shevelev
Keywords:  heat conduction, source, sink, stochasticity, boundary conditions
Page:  614